Introduction to Ring Theory

This book covers the basic material of ring theory for an advanced course in algebra. It is suitable for advanced undergraduate students in the 3rd or 4th year of a degree course.

Paul Cohn is a well-known expositor and expert in the field This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace Includes supplementary material: sn.pub/extras

Zusammenfassung
After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings.

Inhalt
Remarks on Notation and Terminology.- 1 Basics.- 2 Linear Algebras and Artinian Rings.- 3 Noetherian Rings.- 4 Ring Constructions.- 5 General Rings.- Outline Solutions.- Notations and Symbols.